Ultrasonic Wave Propagation in a Nickel Single Crystal

Klerk, J. de

doi:10.1088/0370-1328/73/3/301

Cited by 27 publications

(13 citation statements)

References 10 publications

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“…in any detail. Interested readers should see Mack [33], Dorn and Tietz [34], Vereshchagin and Lichter [35], -Ryahinin [36], Koster and Franz [37], and Gschneider [38].…”

Section: Elements Iron and Nickelmentioning

confidence: 99%

Elastic Properties of Metals and Alloys, I. Iron, Nickel, and Iron-Nickel Alloys

Ledbetter¹,

Reed²

1973

Journal of Physical and Chemical Reference Data

373

161

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A comprehensive compilation is ~ven of elastic properties of iron-nickel alloys. When sufficient data exist, preferred values are recommended_ This compilation covers, besides pure iron and pure nickel, the entire binary composition range, both b.c_c. and f.c.c. phases. Elastic constants included are: Young's modulus, shear modulus, bulk modulus (reciprocal compressibility), Poisson's ratio, and singlecrystal elastic stiffnesses, both second-order and higher-order. Data are compiled for variation of ela~tic com;tant<;. with rompo!>.ition, tpmpprlltllre, prp!>.!>.nrp., magnetic neld. mechanical deformation.annealing, and crystallographic transitions. An overview is given f~om the vantage points of the electron theory ·of m.etals, elasticity theory, and crystallographic theory. Also included are discussions of isothermal and adiabatic elastic constants, interrelationships among engineering elastic constants, computation of the latter from single-crystal elastic stiffnesses, and similar topics. Where key data have not been measured, they were generated if possible from existing data using standard formulae. Other gaps, both theoretical and experimental, in the elastic properties of iron-nickel alloys are indicated. A few theoretical results are included where experimental data are nonexistent or scarce. A semantic scheme is proposed for distinguishing elastic constants of solids.

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“…in any detail. Interested readers should see Mack [33], Dorn and Tietz [34], Vereshchagin and Lichter [35], -Ryahinin [36], Koster and Franz [37], and Gschneider [38].…”

Section: Elements Iron and Nickelmentioning

confidence: 99%

Elastic Properties of Metals and Alloys, I. Iron, Nickel, and Iron-Nickel Alloys

Ledbetter¹,

Reed²

1973

Journal of Physical and Chemical Reference Data

373

161

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“…where B 1 = 2α 1 + 6β 1 + 16/3α 3 + 32/3β 3 , B 2 = 2β 2 + 8/3α 3 + 16/3β 3 + 2α 4 + 6β 4 . According to Eq.…”

Section: Methodsmentioning

confidence: 99%

“…According to Eq. (5) in the [110] direction the sum D 11 (q) + D 12 (q) describes the longitudinal acoustic mode and is expressed as follows: (9) where E 1 = 2α 1 + 6β 1 , E 2 = 2α 1 + 2α 2 + 2β 2 + 4/3α 3 + 8/3β 3 + 2α 4 + 6β 4 .…”

Section: Methodsmentioning

confidence: 99%

“…In order to verify the validity of the obtained values of force constants in [2] the following parameters were calculated: the density of the phonon modes and the dependence of the Debye temperature upon comparison with the corresponding data for nickel. However, the authors of [2] did not succeed in calculating elastic constants for nickel that agreed with the experimental data [4,5]; they attributed this to the sensitivity of the ultrasonic measurements of elastic constants that were applied in [4,5] to impurities in specimens and modes of thermal treatment.…”

Section: Introductionmentioning

confidence: 96%

“…The obtained values of force constants were compared with the results in [2] and the theoretically calculated values using the pseudopotential method. On the basis of the force constants that were obtained by the phonon spectrum we calculated the elastic constants for nickel and carried out a comparison with the experimental data [4,5] and theoretical calculations by the pseudopotential method.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The calculation of radial and tangential force constants for nickel using an experimental phonon spectrum

Энхтор

Silonov

2016

Moscow Univ. Phys.

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The possibility of calculating radial and tangential force constants, as well as elastic constants of face-centered cubic (FCC) metals, has been demonstrated for the case study of nickel on the basis of the experimentally measured phonon spectrum, which is theoretically described by the DeLaunay model in terms of the dynamic matrix D(q). The proposed calculation procedure is an alternative to the Born-von Karman model, which is widely applied for the description of the phonon spectrum in terms of force constants for interatomic interactions and in calculations of elastic constants using the phonon spectrum. The reliability of the obtained force constants for phonon spectrum was verified by comparison between the experimental and calculated data for the phonon spectrum and elastic constants for nickel. The obtained values of force constants for nickel have been compared with the theoretically calculated values using the pseudopotential method.

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Third-order elastic constants of single crystal nickel at 80°K

Sarma

Reddy

1973

Phys. Stat. Sol. (a)

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The six third‐order elastic constants of single crystal ferromagnetic nickel at 80°K were determined by measurement of ultrasonic wave velocities as a function of an applied uniaxial stress. The effect of magnetic domains on the ultrasonic propagation were eliminated by keeping the specimen in a transverse saturation magnetic field. Theoretically predicted constants based on central force model are discussed with experimentally measured constants.

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Ultrasonic Wave Propagation in a Nickel Single Crystal

Cited by 27 publications

References 10 publications

Elastic Properties of Metals and Alloys, I. Iron, Nickel, and Iron-Nickel Alloys

Elastic Properties of Metals and Alloys, I. Iron, Nickel, and Iron-Nickel Alloys

The calculation of radial and tangential force constants for nickel using an experimental phonon spectrum

Third-order elastic constants of single crystal nickel at 80°K

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